Summation Calculator
Calculate Summations with Sigma Notation (Σ)
Evaluate mathematical series using sigma notation. Enter your function, set limits, and get instant results with step-by-step calculations.
Calculate mathematical series using Sigma notation (Σ)
Σ (x=1 to 10) x^2
- Enter a mathematical expression using a variable name (e.g., x) for the summation variable
- Supports basic operations: +, -, *, /, ^ (exponent)
- Supports functions: sin, cos, tan, log, ln, sqrt, abs
- Supports constants: pi (π), e
- Supports factorial: use ! symbol (e.g., x!)
- Set the start and end values for the summation range
- Click preset examples to get started quickly
Features
Supported Functions
- • Basic operations: +, -, *, /, ^
- • Trigonometric: sin(x), cos(x), tan(x)
- • Logarithmic: log(x), ln(x)
- • Square root: sqrt(x)
- • Factorial: x! (for integers)
- • Constants: pi, e
Examples
- • Sum of squares: x^2
- • Sum of cubes: x^3
- • Trigonometric series: sin(x)
- • Complex expressions: 2*x + 3
- • Factorials: x!
- • Mixed functions: x^2 + cos(x)
Frequently Asked Questions
How do I use the summation calculator?
Enter the function expression (like x^2 or sin(x)), set the starting value, ending value, and variable name. Click Calculate to get the sum with step-by-step breakdown.
What mathematical functions are supported?
The calculator supports basic arithmetic (+, -, *, /, ^), trigonometric functions (sin, cos, tan), logarithms (log, ln), square root (sqrt), factorial (!), and constants (pi, e).
What's the maximum range I can calculate?
For performance reasons, the calculator limits summations to a maximum of 10,000 terms. This covers most practical use cases while ensuring fast calculation times.
Can I save or export results?
Yes! You can copy individual results to your clipboard or download the calculation breakdown as a text file for your records.
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